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3 years ago

PLEASE HELP FOR BRAINLIEST!!

Mathematics

1 answer:

LenaWriter [7]3 years ago

8 0

Answer:

Slope = 1/5

Step-by-step explanation:

After plotting the points you do rise over run. 1/5 or 1 over 5 meaning you rise 1 and run across 5 to get to the next point

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What is the length of the segment, endpoints of which are intersections of parabolas y=x^2− 11/4 x− 7/4 and y=− 7/8 x^2+x+ 31/8

kobusy [5.1K]

Answer:

The length of line segment is 5

Step-by-step explanation:

we are given equation of parabolas as

$y=x^2-\frac{11}{4}x-\frac{7}{4}$

$y=-\frac{7}{8}x^2+x+\frac{31}{8}$

Firstly, we will find intersection points

we can set them equal

and then we can solve for x

$x^2-\frac{11}{4}x-\frac{7}{4}=-\frac{7}{8}x^2+x+\frac{31}{8}$

Multiply all sides by 8

$x^2\cdot \:8-\frac{11}{4}x\cdot \:8-\frac{7}{4}\cdot \:8=-\frac{7}{8}x^2\cdot \:8+x\cdot \:8+\frac{31}{8}\cdot \:8$

$8x^2-22x-14=-7x^2+8x+31$

$15x^2-30x-45=0$

now, we can factor it

$15(x^2-2x-3)=0$

$15(x-3)(x+1)=0$

$x=-1,x=3$

now, we can find y-values

At x=-1:

$y=(-1)^2-\frac{11}{4}(-1)-\frac{7}{4}$

y=2

so, we get point as

(-1,2)

At x=3:

$y=(3)^2-\frac{11}{4}(3)-\frac{7}{4}$

y=-1

so, we get point as

(3,-1)

now, we can find distance between these two points

(-1,2)

x1=-1 , y1=2

(3,-1)

x2=3 , y2=-1

now, we can find distance

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

now, we can plug values

$D=\sqrt{(3+1)^2+(-1-2)^2}$

$D=5$

So,

The length of line segment is 5

6 0

3 years ago

Jim has 1/3 of a cup of milk he adds 2/3 to it. How much milk does the cup have know.

Arturiano [62]

Answer:

3/3 (1)

Step-by-step explanation:

1/3 plus 2/3 is 3/3.

Since the denominators are the same, you just keep the number the same and add the numerators (top numbers)

7 0

3 years ago

If its not much to ask can you guys help?

jeyben [28]

Answer:

Step-by-step explanation:

49+88=137

180-137=43

7 0

3 years ago

Read 2 more answers

Which equation is correct?

nika2105 [10]

Answer:

52 x 7= 50 x 7 + 2 x 7

Step-by-step explanation:

7 0

2 years ago

In a class of 24 people, the ratio of women to men is 3 to 1. How many women are in the class?

ryzh [129]

Answer:

There are 18 women in the class

Step-by-step explanation:

First of all this is a ratio topic and to solve it one needs to know that ratios are fractions so to solve it we will find first the sum of the fractions which is 3+1 and =4. Fully recognising through the question that the fractions or relation of the women to the men in the classroom is in a 3:1 ratio, we should multiply the fraction with the total number of people in the class which bring forth the result as 18!

4 0

3 years ago